Phase Transition in the Galam’s Majority-Rule Model with Information-Mediated Independence

Autor: André L. Oestereich, Marcelo A. Pires, Silvio M. Duarte Queirós, Nuno Crokidakis
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Physics, Vol 5, Iss 3, Pp 911-922 (2023)
Druh dokumentu: article
ISSN: 2624-8174
DOI: 10.3390/physics5030059
Popis: We study the Galam’s majority-rule model in the presence of an independent behavior that can be driven intrinsically or can be mediated by information regarding the collective opinion of the whole population. We first apply the mean-field approach where we obtained an explicit time-dependent solution for the order parameter of the model. We complement our results with Monte Carlo simulations where our findings indicate that independent opinion leads to order–disorder continuous nonequilibrium phase transitions. Finite-size scaling analysis show that the model belongs to the mean-field Ising model universality class. Moreover, results from an approach with the Kramers–Moyal coefficients provide insights about the social volatility.
Databáze: Directory of Open Access Journals
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